Consider the spring mass system defined by the differential equation mx" + kx = Fext (t) If m=0.5 kg, and the periodicFext (t) shown on the graph below is applied as an external force, what value of k will result in the mass showing ever-increasing amplitude oscillations over time? f(t) 1.0 0.8 0.6 0.4 0.2 3 4 5 6 7 2

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Consider the spring mass system defined by the differential equation
mx" + kx = Fext (t)
If m=0.5 kg, and the periodicFext (t) shown on the graph below is applied as an
external force, what value of k will result in the mass showing ever-increasing
amplitude oscillations over time?
f(t)
NNN.
1.0
0.8
0.6
0.4
0.2
3
4
5
6
7
2
Transcribed Image Text:Consider the spring mass system defined by the differential equation mx" + kx = Fext (t) If m=0.5 kg, and the periodicFext (t) shown on the graph below is applied as an external force, what value of k will result in the mass showing ever-increasing amplitude oscillations over time? f(t) NNN. 1.0 0.8 0.6 0.4 0.2 3 4 5 6 7 2
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